Geodesic
Simple proof of the adiabatic theorem
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 99-107

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Simple proof of the adiabatic theorem is given in a finite dimensional case for nondegenerate as well as degenerate states. The estimate is obtained for the deviation of the norm of the solution of the Shchrödinger equation which is uniform on the parameter in the Hamiltonian.
Keywords: adiabatic theorem, quantum mechanics. 
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     title = {Simple proof of the adiabatic theorem},
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M. O. Katanaev. Simple proof of the adiabatic theorem. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 99-107. http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a12/